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Finding the Third Proportional to 9,536.91 and 20,715.64

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Solution

The third proportional to 9,536.91 and 20,715.64 is: 44,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.91 : 20,715.64 = 20,715.64 : x
  2. Step 2: Convert to fraction form
    9,536.91/20,715.64 = 20,715.64/x
  3. Step 3: Cross multiply
    9,536.91x = 20,715.64 × 20,715.64
  4. Step 4: Simplify right side
    9,536.91x = 429,137,928.35
  5. Step 5: Solve for x
    x = 429,137,928.35/9,536.91
  6. Step 6: Final answer
    x = 44,997.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.